Home / 1,472.67-2,204.28-977.94

Finding the Fourth Proportional to 1,472.67, 2,204.28 and 977.94

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Solution

The fourth proportional to 1,472.67, 2,204.28 and 977.94 is: 1,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.67 : 2,204.28 = 977.94 : x
  2. Step 2: Convert to fraction form
    1,472.67/2,204.28 = 977.94/x
  3. Step 3: Cross multiply
    1,472.67x = 2,204.28 × 977.94
  4. Step 4: Simplify right side
    1,472.67x = 2,155,653.58
  5. Step 5: Solve for x
    x = 2,155,653.58/1,472.67
  6. Step 6: Final answer
    x = 1,463.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.